Revision as of 20:31, 4 September 2008 by Longja (Talk)

Periodic Signal Definition

  • For a Continuous-time signal
     There exists a positive value of T for which
     
     $ x(t) = x(t - T) $
     
     for all values of t.
  • For a Discrete-time signal
     There exists a positive integer N for which
     
     $ x[n] = x[n + N] $
     
     for all values of n.
     
     Note: N is the period of the signal.


Problems

  • Periodic Continuous-Time Signal


  • Not Periodic Continuous-Time Signal
     $ x(t) = e^{j(\pit-1)} $
     
     It is not continuous because

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